Almost Everywhere Nonuniqueness of Integral Curves for Divergence-Free Sobolev Vector Fields

DOI10.1137/22m1487187zbMath1525.35005arXiv2108.03194MaRDI QIDQ6073324

Unnamed Author, Massimo Sorella

Publication date: 17 October 2023

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.03194

zbMATH Keywords

continuity equationgeneralized flowsODESobolev vector fieldsintegral curves

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Transport equations (35Q49)

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